TY - JOUR ID - SisLab3646 UR - https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.201800238 A1 - Ngo, Dinh Dat A1 - Nguyen, Dinh Khoa A1 - Pham, Dinh Nguyen A1 - Nguyen, Dinh Duc Y1 - 2019/09/03/ N2 - The present study deals with the nonlinear dynamic response and vibration of functionally graded carbon nanotubes (FG?CNT) reinforced composite elliptical cylindrical shells resting on elastic foundations in thermal environments using an analytical solution. The nanocomposite elliptical cylindrical shells are reinforced by single?walled carbon nanotubes. Based on the classical shell theory with the geometrical nonlinearity in von Kármán and the nonlinear dynamic response and vibration results are obtained by using the Airy stress function, Galerkin method, and Runge?Kutta method. In numerical results, the effect of geometrical parameters, initial geometric imperfection, Winkler and Pasternak elastic foundations and volume fractions and types of distribution of CNTs on the nonlinear dynamic response and vibration of FG?CNT reinforced composite elliptical cylindrical shells are investigated. JF - Journal of Applied Mathematics and Mechanics SN - 1521-4001 TI - An analytical solution for nonlinear dynamic response and vibration of FG?CNT reinforced nanocomposite elliptical cylindrical shells resting on elastic foundations AV - public ER -